Online Square Root Calculator

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Square root of a number can be determined by when a number is multiplied by itself gives the original number. Square root calculator is used for only positive numbers. We cannot find the square root for negative numbers. The prefect square root of a number can be determined by perfect squares of a real numbers otherwise we can get decimal numbers as answer.

In general, the representation of Square rootfor a number as shown below.

√n [Squae root (n) ]or n^ ½.

Example 1: Find the square root of a given number 81.

Solution: First find the factors given number

81 = 3 *27

81= 3*3*9 (27 = 9 *3)

81= 3*3*3*3 (9 =3*3)

81 = 3 ^4

So √81 = √ (3^4)

= (3^4) ^1/2

= 3^2

= 9

So square root of 81 is equal to 9.

Example 2: Find the square root of a given number 144.

Solution: First find the factors of given number

144 = 2 * 72

144 = 2 * 2 * 36 (72 = 2*36)

144 = 2 * 2 * 2 * 18 (36 = 2 * 18)

144 = 2 * 2* 2* 2* 9 (18 =2 * 9)

144 = 2 * 2 * 2 * 2 * 3 * 3 (9 = 3 * 3)

144 = 2 ^ 4 * 3 ^2

So √144 = √ (2^4 * 3^2)

= (2^4) ^1/2 * (3^2) ^1/2

= 2^2 * 3

=4 *3

=12